1791 has 6 divisors (see below), whose sum is σ = 2600. Its totient is φ = 1188.

The previous prime is 1789. The next prime is 1801. The reversal of 1791 is 1971.

1791 is nontrivially palindromic in base 13.

It is not a de Polignac number, because 1791 - 2¹ = 1789 is a prime.

It is a Duffinian number.

1791 is an undulating number in base 13.

It is a plaindrome in base 4, base 8, base 11 and base 16.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1721) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 91 + ... + 108.

1791 is a deficient number, since it is larger than the sum of its proper divisors (809).

1791 is a wasteful number, since it uses less digits than its factorization.

1791 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 202 counting only the distinct ones).

The product of its digits is 63, while the sum is 18.

The square root of 1791 is about 42.3202079390. The cubic root of 1791 is about 12.1440961003.

Subtracting from 1791 its product of digits (63), we obtain a cube (1728 = 12³).

The spelling of 1791 in words is "one thousand, seven hundred ninety-one".